Hi
Configuring a site as an EIGRP Stub will not stop that site receiving all the remote routes automatically. You need to make sure that your other sites do not advertise routes into your EIGRP stub site.
So you need to filter out any routes being advertised to your EIGRP stub site either with
1) An ip summary-address eigrp statement under the interface that connects to the remote site in the hub site.
2) A distribute list in the EIGRP config in the hub site to stop any routes being propogated to the remote site.
HTH
Jon